Individual homogenization of nonlinear parabolic operators Academic Article uri icon

abstract

  • In this article, we prove an individual homogenization result for a class of almost periodic nonlinear parabolic operators. The spatial and temporal heterogeneities are almost periodic functions in the sense of Besicovitch. The latter allows discontinuities and is suitable for many applications. First, we derive stability and comparison estimates for sequences of G-convergent nonlinear parabolic operators. Furthermore, using these estimates, the individual homogenization result is shown. 2006, Taylor & Francis Group, LLC.

published proceedings

  • Applicable Analysis

author list (cited authors)

  • Efendiev, Y., Jiang, L., & Pankov, A.

citation count

  • 6

complete list of authors

  • Efendiev, Y||Jiang, L||Pankov, A

publication date

  • December 2006